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Master's Dissertation
DOI
https://doi.org/10.11606/D.55.2019.tde-25032019-164539
Document
Author
Full name
Heloisa Helena Marino Silva
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1989
Supervisor
Committee
Linhares, Odelar Leite (President)
Favaro, Marielza Jorge
Pereira, Aldenice Brito
Title in Portuguese
VERSÃO INTERVALAR DE MÉTODOS NUMÉRICOS PARA RESOLUÇÃO DE SISTEMAS LINEARES ALGÉBRICOS
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Este trabalho tem por finalidade principal, apresentar e analisar versões intervalares de métodos numéricos pra resolução de sistemas lineares algébricos. Os métodos iterativos foram preferencialmente examinados, de vez que, para os métodos ditos exatos, a Matemática Intervalar não tem se mostrado instrumento adequado para tratá-los. Assim, versões intervalares dos conhecidos métodos de Gauss-Seidel, Jacobi, dos Gradientes e outros foram construídas e sua eficiência, face às versões não intervalares, analisada através de exaustivos testes em computador digital.
Title in English
Not available
Keywords in English
Not available
Abstract in English
The main propose of this dissertation is to define and discuss interval versions of some numerical methods to solve systems of linear algebraic equations. As for the so-called exact methods, the Interval Mathematics has been proved to be an inadequate tool for treating them, only the iterative methods deseved special attention. Interval versions of the well-know Gauss-Seidel. Jacobi and Gradient iteative methods, among others, has been constructed and their numerical performance analysed confronting with that of their non-interval versions, through exaustive tests in digital microcomputers.
 
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Publishing Date
2019-04-01
 
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